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Finding the Fourth Proportional to 491.23, 736.48 and 414.68

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Solution

The fourth proportional to 491.23, 736.48 and 414.68 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.23 : 736.48 = 414.68 : x
  2. Step 2: Convert to fraction form
    491.23/736.48 = 414.68/x
  3. Step 3: Cross multiply
    491.23x = 736.48 × 414.68
  4. Step 4: Simplify right side
    491.23x = 305,401.45
  5. Step 5: Solve for x
    x = 305,401.45/491.23
  6. Step 6: Final answer
    x = 621.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.